207216128 has 160 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 78741504.

The previous prime is 207216103. The next prime is 207216133. The reversal of 207216128 is 821612702.

It is a self number, because there is not a number n which added to its sum of digits gives 207216128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157543 + ... + 1157721.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^207216128 is an apocalyptic number.

207216128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

207216128 is an abundant number, since it is smaller than the sum of its proper divisors (323107072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

207216128 is a wasteful number, since it uses less digits than its factorization.

207216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 207216128 is about 14395.0035776307. The cubic root of 207216128 is about 591.7539761741.

The spelling of 207216128 in words is "two hundred seven million, two hundred sixteen thousand, one hundred twenty-eight".